All categories

2 years ago

Is 9x^2 - 12x + 4 a perfect square? Why?

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

8 0

Answer:

Because it is equal to (3x - 2)^2.

Step-by-step explanation:

If we factor we'll see why:

9x^2 - 12x + 4

To factor we can use the 'ac' method:

Multiplying the leading coefficient by the constant term: 9 * 4 = 36.

We need 2 numbers whose product is 36 and whose sum is -12:

These are -6 and -6 so we write:

9x^2 - 6x - 6x + 4

Factor by grouping:

= 3x(3x - 2) - 2(3x - 2)

= (3x - 2)(3x - 2)

= (3x - 2)^2 which is a perfect square.

Yuki888 [10]2 years ago

4 0

Answer:

Yes

Step-by-step explanation:

9x^2-12x+4 can be factored to (3x-2)(3x-2). If you use the FOIL method, 3x times 3x gives you 9x^2, 3x times -2 gives you -6x, -2 times 3x gives you -6x (-6x + -6x gives you -12), and lastly -2 times -2 gives you 4.

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Answer:

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Step-by-step explanation:

we know that

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$(h,k)=(1,8)$

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$y=ax^{2}+bx+c$

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$y=2x^{2}-4x+2+8$

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see the attached figure to better understand the problem

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